monoid[X,Y, Inverses => P]
The optional argument Inverses specifies whether negative exponents will be allowed, making the monoid into a group. This option is mainly used by degreesMonoid and degreesRing functions to allow negative exponents in the monomials.
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This option may also be used when creating a new ring from an existing ring, creating a tensor product ring, or symmetric algebra.
The source of this document is in /build/reproducible-path/macaulay2-1.25.06+ds/M2/Macaulay2/packages/Macaulay2Doc/functions/monoid-doc.m2:563:0.